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Finding the Fourth Proportional to 1,346.82, 1,858.71 and 822.95

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Solution

The fourth proportional to 1,346.82, 1,858.71 and 822.95 is: 1,135.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.82 : 1,858.71 = 822.95 : x
  2. Step 2: Convert to fraction form
    1,346.82/1,858.71 = 822.95/x
  3. Step 3: Cross multiply
    1,346.82x = 1,858.71 × 822.95
  4. Step 4: Simplify right side
    1,346.82x = 1,529,616.10
  5. Step 5: Solve for x
    x = 1,529,616.10/1,346.82
  6. Step 6: Final answer
    x = 1,135.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.